In the field of mechanical engineering, conveyors and moving belts are frequently used machine parts. In many working regimes, they are subjected to sudden loading, which can be a source of irregular motion in the impacting bodies and undesirable behavior in the working machine. This paper deals with a mechanical model where colisions between an impact body and a moving belt take place. The impact body is constrained by a flexible rope, the upper end of which is excited by a slider in the vertical direction. The behavior of the system was investigated in terms of its dependence on the amplitude and frequency of excitation given by the movement of the slider, and the eccentricity of the center of gravity of the impact body. Outputs of the computations indicate that different combinations of the analyzed parameters lead to high complexity of the system’s movement. The bifurcation analysis shows multiple periodic areas changed by chaotic regions. The research carried out provides more details about the behavior and properties of strongly nonlinear mechanical systems resulting from impacts and dry friction. The obtained information will enable designers to propose parameters for industrial machines that make it possible to avoid their working at undesirable operating levels.

中文翻译：

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不平衡冲击体与运动皮带碰撞的运动

在机械工程领域，输送机和移动带是经常使用的机器零件。在许多工作状态下，它们承受突然的负载，这可能是冲击体中不规则运动的源头，并且是工作机具中不良行为的根源。本文研究了一种机械模型，其中在撞击体和移动皮带之间发生了粘菌现象。冲击体由柔性绳索约束，柔性绳索的上端被滑块沿垂直方向激励。根据系统对滑块的运动给定的激励幅度和频率以及冲击体重心的偏心率的依赖性，对系统的行为进行了研究。计算结果表明，所分析参数的不同组合会导致系统运动的高度复杂性。分叉分析显示多个周期性区域被混沌区域改变。进行的研究提供了有关由冲击和干摩擦产生的强非线性机械系统的行为和特性的更多详细信息。所获得的信息将使设计人员能够为工业机械提出参数，从而有可能避免其在不期望的工作水平下工作。